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Finding the Fourth Proportional to 9,221.78, 12,727.22 and 5,188.81

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Solution

The fourth proportional to 9,221.78, 12,727.22 and 5,188.81 is: 7,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.78 : 12,727.22 = 5,188.81 : x
  2. Step 2: Convert to fraction form
    9,221.78/12,727.22 = 5,188.81/x
  3. Step 3: Cross multiply
    9,221.78x = 12,727.22 × 5,188.81
  4. Step 4: Simplify right side
    9,221.78x = 66,039,126.41
  5. Step 5: Solve for x
    x = 66,039,126.41/9,221.78
  6. Step 6: Final answer
    x = 7,161.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.